Characteristic polynomial of a generalized complete product of matrices
نویسندگان
چکیده
منابع مشابه
SIGNED GENERALIZED PETERSEN GRAPH AND ITS CHARACTERISTIC POLYNOMIAL
Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefficients of their signed characteristic polynomial and signed Laplacian characteristic polynomial are calculated.
متن کاملVery cleanness of generalized matrices
An element $a$ in a ring $R$ is very clean in case there exists an idempotent $ein R$ such that $ae = ea$ and either $a- e$ or $a + e$ is invertible. An element $a$ in a ring $R$ is very $J$-clean provided that there exists an idempotent $ein R$ such that $ae = ea$ and either $a-ein J(R)$ or $a + ein J(R)$. Let $R$ be a local ring, and let $sin C(R)$. We prove that $Ain K_...
متن کاملCounting Integral Matrices with a given Characteristic Polynomial
We give a simpler proof of an earlier result giving an asymptotic estimate for the number of integral matrices, in large balls, with a given monic integral irreducible polynomial as their common characteristic polynomial. The proof uses equidistributions of polynomial trajectories on SL(n, R)/SL(n, Z), which is a generalization of Ratner’s theorem on equidistributions of unipotent trajectories....
متن کاملThe Characteristic Polynomial of Some Perturbed Tridiagonal k-Toeplitz Matrices
We generalize some recent results on the spectra of tridiagonal matrices, providing explicit expressions for the characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices. The calculation of the eigenvalues (and associated eigenvectors) follows straightforward. Mathematics Subject Classification: 15A18, 42C05, 33C45
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2011
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.11.017